Geometry of the Universe and Its Relation to Entropy and Information
In an effort to investigate a possible relation between geometry and information, we establish a relation of the Ricci scalar in the Robertson-Walker metric of the cosmological Friedmann model to the number of information N and entropy S. This is with the help of a previously derive...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2013-01-01
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| Series: | Advances in Astronomy |
| Online Access: | http://dx.doi.org/10.1155/2013/809695 |
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| Summary: | In an effort to investigate a possible relation between geometry and information,
we establish a relation of the Ricci scalar in the Robertson-Walker metric of the cosmological Friedmann model to the number of information N and entropy S. This is with the help of a previously derived result that relates the Hubble parameter to the number of information N. We find that the Ricci scalar has a dependence which is inversely proportional to the number of information N and entropy S. Similarly, a nonzero number of information would imply a finite Ricci scalar, and therefore space time will unfold.
Finally, using the maximum number of information existing in the universe, we obtain a numerical value for the Ricci scalar to be O(10-52) m-2. |
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| ISSN: | 1687-7969 1687-7977 |